Work required for Polytropic Compression Calculator

✖Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.ⓘ Polytropic Index for Compression [n_c]			+10% -10%
✖Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass for Compression [m]			+10% -10%
✖The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.ⓘ Specific Gas Constant [R]			+10% -10%
✖Input Temperature is the degree or intensity of heat present in the system.ⓘ Input Temperature [T_in]			+10% -10%
✖Pressure 2 is the pressure at give point 2.ⓘ Pressure 2 [P₂]			+10% -10%
✖Pressure 1 is the pressure at give point 1.ⓘ Pressure 1 [P₁]			+10% -10%

✖Work Required for Polytropic Compression Process can be defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant.ⓘ Work required for Polytropic Compression [W_poly]

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Formula

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Work required for Polytropic Compression

Formula

`"W"_{"poly"} = ((("n"_{"c"})/("n"_{"c"}-1))*("m"*"R"*"T"_{"in"})*(("P"_{"2"}/"P"_{"1"})^(("n"_{"c"}-1)/("n"_{"c"}))-1))`

Example

`"17.99352J"=((("1.2")/("1.2"-1))*("2kg"*"0.055J/(kg*K)"*"210K")*(("5200Pa"/"2500Pa")^(("1.2"-1)/("1.2"))-1))`

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Work required for Polytropic Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1))
W_poly = (((n_c)/(n_c-1))*(m*R*T_in)*((P₂/P₁)^((n_c-1)/(n_c))-1))
This formula uses 7 Variables

Variables Used

Work Required for Polytropic Compression - (Measured in Joule) - Work Required for Polytropic Compression Process can be defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant.
Polytropic Index for Compression - Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.
Mass for Compression - (Measured in Kilogram) - Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.
Specific Gas Constant - (Measured in Joule per Kilogram per K) - The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.
Input Temperature - (Measured in Kelvin) - Input Temperature is the degree or intensity of heat present in the system.
Pressure 2 - (Measured in Pascal) - Pressure 2 is the pressure at give point 2.
Pressure 1 - (Measured in Pascal) - Pressure 1 is the pressure at give point 1.

STEP 1: Convert Input(s) to Base Unit

Polytropic Index for Compression: 1.2 --> No Conversion Required
Mass for Compression: 2 Kilogram --> 2 Kilogram No Conversion Required
Specific Gas Constant: 0.055 Joule per Kilogram per K --> 0.055 Joule per Kilogram per K No Conversion Required
Input Temperature: 210 Kelvin --> 210 Kelvin No Conversion Required
Pressure 2: 5200 Pascal --> 5200 Pascal No Conversion Required
Pressure 1: 2500 Pascal --> 2500 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_poly = (((n_c)/(n_c-1))*(m*R*T_in)*((P₂/P₁)^((n_c-1)/(n_c))-1)) --> (((1.2)/(1.2-1))*(2*0.055*210)*((5200/2500)^((1.2-1)/(1.2))-1))

Evaluating ... ...

W_poly = 17.9935198409736

STEP 3: Convert Result to Output's Unit

17.9935198409736 Joule --> No Conversion Required

FINAL ANSWER

17.9935198409736 ≈ 17.99352 Joule <-- Work Required for Polytropic Compression

(Calculation completed in 00.004 seconds)

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< 3 Work Required Calculators

Work required for Polytropic Compression

Go Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1))

Work required for Isothermal Compression

Go Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1)

Nominal HP of Driving Motor

Go Power = (2*pi*Speed of Agitator*Rated Motor Torque)/4500

Work required for Polytropic Compression Formula

What is Polytropic ?

Polytropic was originally coined to describe any reversible process on any open or closed system of gas or vapor which involves both heat and work transfer, such that a specified combination of properties were maintained constant throughout the process.

How to Calculate Work required for Polytropic Compression?

Work required for Polytropic Compression calculator uses Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) to calculate the Work Required for Polytropic Compression, The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant. Work Required for Polytropic Compression is denoted by W_poly symbol.

How to calculate Work required for Polytropic Compression using this online calculator? To use this online calculator for Work required for Polytropic Compression, enter Polytropic Index for Compression (n_c), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), Pressure 2 (P₂) & Pressure 1 (P₁) and hit the calculate button. Here is how the Work required for Polytropic Compression calculation can be explained with given input values -> 93566.3 = (((1.2)/(1.2-1))*(2*0.055*210)*((5200/2500)^((1.2-1)/(1.2))-1)).

FAQ

What is Work required for Polytropic Compression?

The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant and is represented as W_poly = (((n_c)/(n_c-1))*(m*R*T_in)*((P₂/P₁)^((n_c-1)/(n_c))-1)) or Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)). Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index, Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter, The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture, Input Temperature is the degree or intensity of heat present in the system, Pressure 2 is the pressure at give point 2 & Pressure 1 is the pressure at give point 1.

How to calculate Work required for Polytropic Compression?

The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant is calculated using Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)). To calculate Work required for Polytropic Compression, you need Polytropic Index for Compression (n_c), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), Pressure 2 (P₂) & Pressure 1 (P₁). With our tool, you need to enter the respective value for Polytropic Index for Compression, Mass for Compression, Specific Gas Constant, Input Temperature, Pressure 2 & Pressure 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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